4.17 The four-effect decomposition of every Hyperfunction zig-zag step

A higher Hyperfunction step should be read as four simultaneous contributions:

1. Inheritance - lower Hyperfunctional structure remains present.

2. Purification - the new negative Infrafunction coordinate makes the state increasingly anti-Infrafunctional at that recursive order.

3. Direct dimensional addition - the signed typed coordinate -I_n is itself a genuinely new coordinate.

4. Emergent dimensional generation - interactions involving the new coordinate generate additional irreducible properties, including higher-order Adeptness-like dimensions.

H_(n+1) = inherited structure + Z_n + Pi_n + Gamma_n, conceptually

This expression is conceptual rather than ordinary arithmetic. Z_n is a typed coordinate, Pi_n denotes purification consequences, and Gamma_n denotes generated emergent dimensions.